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Finding the Fourth Proportional to 388.68, 586.47 and 374.45

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Solution

The fourth proportional to 388.68, 586.47 and 374.45 is: 564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.68 : 586.47 = 374.45 : x
  2. Step 2: Convert to fraction form
    388.68/586.47 = 374.45/x
  3. Step 3: Cross multiply
    388.68x = 586.47 × 374.45
  4. Step 4: Simplify right side
    388.68x = 219,600.76
  5. Step 5: Solve for x
    x = 219,600.76/388.68
  6. Step 6: Final answer
    x = 564.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.